GCF and LCM Calculator Logo

What is the Least Common Multiple of 26567 and 26582?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 26567 and 26582 is 706203994.

LCM(26567,26582) = 706203994

LCM Calculator and
and

Least Common Multiple of 26567 and 26582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26567 and 26582, than apply into the LCM equation.

GCF(26567,26582) = 1
LCM(26567,26582) = ( 26567 × 26582) / 1
LCM(26567,26582) = 706203994 / 1
LCM(26567,26582) = 706203994

Least Common Multiple (LCM) of 26567 and 26582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26567 and 26582. First we will calculate the prime factors of 26567 and 26582.

Prime Factorization of 26567

Prime factors of 26567 are 31, 857. Prime factorization of 26567 in exponential form is:

26567 = 311 × 8571

Prime Factorization of 26582

Prime factors of 26582 are 2, 13291. Prime factorization of 26582 in exponential form is:

26582 = 21 × 132911

Now multiplying the highest exponent prime factors to calculate the LCM of 26567 and 26582.

LCM(26567,26582) = 311 × 8571 × 21 × 132911
LCM(26567,26582) = 706203994